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Neutrosophic SuperHyperSoft Sets

open access: yes
Florentin Smarandche   +3 more
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On similarity and entropy of neutrosophic sets [PDF]

open access: possibleJournal of Intelligent & Fuzzy Systems, 2014
In this paper we have introduced the notion of distance between two single valued neutrosophic sets and studied its properties. We have also defined several similarity measures between them and investigated their characteristics. A measure of entropy of a single valued neutrosophic set has also been introduced.
Pinaki Majumdar, Syamal Kumar Samanta
openaire   +1 more source

Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets

2018
In approximation theory, neutrosophic set and logic show an important role. They are generalizations of intuitionistic fuzzy set and logic respectively. Based on neutrosophy, which is a new branch of philosophy, every idea X, has an opposite denoted as anti (X) and their neutral which is denoted as neut (X).
Smarandache, Florentin   +2 more
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δ -equalities of neutrosophic sets

2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016
Fuzzy sets and intuitionistic fuzzy sets can't handle imprecise, indeterminate, inconsistent, and incomplete information. Neutrosophic sets play an important role to overcome this difficulty. A neutrosophic set has a truth membership function, indeterminate membership function, and a falsehood membership functions that can handle all types of ambiguous
Mumtaz Ali   +2 more
openaire   +1 more source

Refined Neutrosophic Sets and Refined Neutrosophic Soft Sets

2016
Refined neutrosophic sets (RNS) are a generalization of a neutrosophic sets, intuitionistic fuzzy sets, fuzzy sets, intuitionistic fuzzy multi-sets and fuzzy multi-sets. Similarly, refined neutrosophic soft sets (RNSS) are a generalization of a neutrosophic soft sets, intuitionistic fuzzy soft sets, fuzzy soft sets, intuitionistic fuzzy soft multi-sets
openaire   +1 more source

Neutrosophic Power-Set and Neutrosophic HyperStructure of Neutrosophic Set of Three Types

Annals of Pure and Applied Mathematics
This paper aims to further develop neutrosophic set theory as an extension of classical set theory, focusing on integrating the concept of indeterminacy and constructing mathematical frameworks. It introduces the neutrosophic number (𝑎 + 𝑏𝐼), a foundation for structures like neutrosophic algebra, sets, and operations.
openaire   +1 more source

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